12625200 has 240 divisors, whose sum is σ = 51663360. Its totient is φ = 2868480.

The previous prime is 12625189. The next prime is 12625211. The reversal of 12625200 is 252621.

It is an interprime number because it is at equal distance from previous prime (12625189) and next prime (12625211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75517 + ... + 75683.

It is an arithmetic number, because the mean of its divisors is an integer number (215264).

Almost surely, 2^12625200 is an apocalyptic number.

12625200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831680).

12625200 is an abundant number, since it is smaller than the sum of its proper divisors (39038160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12625200 is a wasteful number, since it uses less digits than its factorization.

12625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12625200 is about 3553.1957446783. The cubic root of 12625200 is about 232.8517049572.

Adding to 12625200 its reverse (252621), we get a palindrome (12877821).

The spelling of 12625200 in words is "twelve million, six hundred twenty-five thousand, two hundred".